haterbae1
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A skater conducted a survey at his school. The data he collected is in the table below. If his sample was random, which conclusion below is the most reasonable based on the sample?

| Gender (M/F) | Have you ever ridden a skateboard? (Y/N) | Do you own a skateboard? (Y/N) | Do you skateboard at least once a week? (Y/N) |
|--------------|---------------------------------------|-------------------------------|--------------------------------------------|
| M | N | N | N |
| F | N | N | N |
| M | Y | Y | N |
| M | Y | Y | Y |
| F | Y | N | N |
| M | Y | N | N |
| M | Y | Y | N |
| F | Y | Y | N |
| F | Y | N | Y |
| F | N | | N |

Based on the sample, which conclusion is most reasonable?

A. Most boys own a skateboard.
B. Most girls own a skateboard.
C. Most students skateboard at least once a week.
D. Most students have ridden a skateboard but do not own one.

Sagot :

GinnyAnswer
Sure, let's analyze the data provided and make an appropriate conclusion based on the sample.

### Survey Data Analysis

Below is the survey data provided in the table:

| Gender | Have you ever ridden a skateboard? | Do you own a skateboard? | Do you skateboard at least once a week? |
|--------|------------------------------------|-------------------------|----------------------------------------|
| M | N | N | N |
| F | N | N | N |
| M | Y | Y | N |
| M | Y | Y | Y |
| F | Y | N | N |
| M | Y | N | N |
| M | Y | Y | N |
| F | Y | Y | N |
| F | Y | N | Y |
| F | N | N | N |

### Steps to Analyze the Data

1. Count the total number of respondents:
Total respondents are simply the number of rows in the table, which is 10 in this case.

2. Calculate the number of girls (F) in the sample:
Count the number of rows where the gender is 'F'.
- In this sample, there are 5 girls.

3. Calculate the number of girls who own a skateboard (Y for owning a skateboard):
Count the number of rows where the gender is 'F' and they own a skateboard.
- There are 2 instances where girls own a skateboard.

4. Calculate the ratio of girls who own a skateboard:
This is the number of girls who own a skateboard divided by the total number of girls in the sample.
- Ratio = Number of girls who own a skateboard / Number of girls in sample
- Ratio = 2 / 5 = 0.4

5. Estimate the total number of girls in the school who own a skateboard:
- Total girls owning skateboards in the school = Ratio * Total number of girls in the school.
- Given that there are 103 girls in the school who own a skateboard, use the ratio to estimate the total number of girls in the school.

### Final Calculation and Conclusion

Given:
- Total number of girls in the sample: 5
- Number of girls owning a skateboard in the sample: 2
- Ratio = [tex]\(\frac{2}{5} = 0.4\)[/tex]
- Total number of girls owning a skateboard in the school: 103

We can estimate the total number of girls in the school:
- If 0.4 of the total girls in the school own a skateboard, and we know 103 girls own a skateboard:
[tex]\[ \text{Total number of girls in school} = \frac{103}{0.4} = 257.5 \][/tex]

Since we can’t have a fractional number of students, we would round to the nearest whole number:
[tex]\[ \text{Total number of girls in the school} \approx 258 \][/tex]

### Conclusion

Based on the random sample data, the most reasonable conclusion is that there are approximately 258 girls in the school, given that 103 girls own a skateboard.

If you have any other questions or need further clarification, feel free to ask!
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.